Newton methodnonlinear equations/ Newton-type methodsnonlinear equationsquadratic matrix groupsnumerical methodsmatrix Lie groupsLie algebraCayley approximantIn this paper we consider numerical methods for solving nonlinear equations on matrix Lie groups. Recently Owren and Welfert (Technical Report Numerics, ...
Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian For solving large systems of nonlinear equations by quasi-Newton methods it may often be preferable to store an approximation to the Jacobian rather than a... L.,K.,Schubert - 《Math Comp》 被引量: 288发表...
The Newton-Raphson method is a method used to find solutions for nonlinear systems of equations. Learn what the Newton-Raphson method is, how it is set up, review the calculus and linear algebra involved, and see how the information is packaged. Finally, explore how to solve a problem using...
A modified quasi-Newton method for nonlinear equations ☆65H1090C53Nonlinear equationsNew quasi-Newton equationModified quasi-Newton methodLocal superlinear convergenceIn this paper, a modified quasi-Newton method is proposed for solving the nonlinear equation F(x)=0 F ( x ) = 0 mathContainer ...
Quasi-Newton methods were introduced by Charles Broyden [A class of methods for solving nonlinear simultaneous equations, Math Comp. 19 (1965), pp. 577–593] as an alternative to Newton's method for solving nonlinear algebraic systems; in 1970 Broyden [The convergence of a class of double ran...
(View the complete code for this example.) This example solves a nonlinear system of equations by Newton’s method. Let the nonlinear system be represented by where is a vector and F is a vector-valued nonlinear function. Newton’s method is an iterative technique. The method starts with ...
AnInexactNewtonMethodforNonlinearConstrainedOptimizationNewYorkUniversity BackgroundAlgorithmsandTheoryExperimentsConclusion Verylarge-scaleoptimization Consideraconstrainedoptimizationproblem(NLP)oftheform min x∈R n f(x) s.t.cE(x)=0 cI(x)≥0 wheref:R ...
In general, when a quasi-Newton method is applied to solve a system of nonlinear equations, the quasi-Newton direction is not necessarily a descent direction for the norm function. In this paper, we show that when applied to solve symmetric nonlinear equations, a quasi-Newton method with posit...
The convergence of a one-step smoothing Newton method for -NCP based on a new smoothing NCP-function The nonlinear complementarity problem (denoted by NCP(F)) can be reformulated as the solution of a nonsmooth system of equations. By introducing a new smoo... Changfeng,Ma,and,... - 《Jo...
本科学生毕业论文 Newton法在解非线性方程组中的应用黑 龙江工程学院二○一二年六月 The Graduation Design for Bachelors Degree Newton iterative method for system of nonlinear equations Heilongjiang Institute of Technology 2012-06·Harbin 摘 要非线性方程组的数值解法在实际中有广泛的应用,特别是在各种非线性问...